Answers

  • Brainly User
2016-06-03T09:36:32+08:00
The sum of supplementary angles is 180°.

Angle: x
Its supplement:  180-x

Equation:

x = 2(180-x) - 15
x = 360 - 2x - 15
x + 2x = 360 - 15
3x = 345
3x/3 = 345/3
x = 115°

Since:
Angle x = 115°
Its supplement = 180 - x  ⇒  180 - 115 = 65°

ANSWER:  The measure of the angle is 115
°, and its supplementary angle is 65°.

Check:
    115° + 65° = 180°

The measure of the angle is 15 less than twice its supplement:
    115 = 2 (65) - 15
    115 = 130 - 15
    115 = 115   (True) 
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